TSTP Solution File: NUM517+3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM517+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 09:06:30 EDT 2024

% Result   : Theorem 1.86s 0.72s
% Output   : CNFRefutation 1.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   42 (  15 unt;   0 def)
%            Number of atoms       : 1498 ( 488 equ)
%            Maximal formula atoms : 1287 (  35 avg)
%            Number of connectives : 2258 ( 802   ~;1211   |; 226   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  138 (   8 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-3 aty)
%            Number of variables   :   54 (   0 sgn  28   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mIH_03,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X1 != X2
          & sdtlseqdt0(X1,X2) )
       => iLess0(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.6mpM9TYrM9/E---3.1_29473.p',mIH_03) ).

fof(m__1799,hypothesis,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => ( ( ( ( X3 != sz00
              & X3 != sz10
              & ! [X4] :
                  ( ( aNaturalNumber0(X4)
                    & ? [X5] :
                        ( aNaturalNumber0(X5)
                        & X3 = sdtasdt0(X4,X5) )
                    & doDivides0(X4,X3) )
                 => ( X4 = sz10
                    | X4 = X3 ) ) )
            | isPrime0(X3) )
          & ( ? [X4] :
                ( aNaturalNumber0(X4)
                & sdtasdt0(X1,X2) = sdtasdt0(X3,X4) )
            | doDivides0(X3,sdtasdt0(X1,X2)) ) )
       => ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( ( ? [X4] :
                  ( aNaturalNumber0(X4)
                  & X1 = sdtasdt0(X3,X4) )
              & doDivides0(X3,X1) )
            | ( ? [X4] :
                  ( aNaturalNumber0(X4)
                  & X2 = sdtasdt0(X3,X4) )
              & doDivides0(X3,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.6mpM9TYrM9/E---3.1_29473.p',m__1799) ).

fof(m__2686,hypothesis,
    ( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
          & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
       => sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) )
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X1) = sdtpldt0(sdtpldt0(xn,xm),xp) )
    & sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    file('/export/starexec/sandbox/tmp/tmp.6mpM9TYrM9/E---3.1_29473.p',m__2686) ).

fof(m__1860,hypothesis,
    ( xp != sz00
    & xp != sz10
    & ! [X1] :
        ( ( aNaturalNumber0(X1)
          & ( ? [X2] :
                ( aNaturalNumber0(X2)
                & xp = sdtasdt0(X1,X2) )
            | doDivides0(X1,xp) ) )
       => ( X1 = sz10
          | X1 = xp ) )
    & isPrime0(xp)
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/tmp/tmp.6mpM9TYrM9/E---3.1_29473.p',m__1860) ).

fof(m__2529,hypothesis,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X1) )
    & doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
    file('/export/starexec/sandbox/tmp/tmp.6mpM9TYrM9/E---3.1_29473.p',m__2529) ).

fof(m__,conjecture,
    ( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
        & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
     => ( ? [X1] :
            ( aNaturalNumber0(X1)
            & sdtsldt0(xn,xr) = sdtasdt0(xp,X1) )
        | doDivides0(xp,sdtsldt0(xn,xr)) ) )
    | ? [X1] :
        ( aNaturalNumber0(X1)
        & xm = sdtasdt0(xp,X1) )
    | doDivides0(xp,xm) ),
    file('/export/starexec/sandbox/tmp/tmp.6mpM9TYrM9/E---3.1_29473.p',m__) ).

fof(m__2504,hypothesis,
    ( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
          & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
       => sdtsldt0(xn,xr) = xn )
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(sdtsldt0(xn,xr),X1) = xn )
    & sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
    file('/export/starexec/sandbox/tmp/tmp.6mpM9TYrM9/E---3.1_29473.p',m__2504) ).

fof(m__1837,hypothesis,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox/tmp/tmp.6mpM9TYrM9/E---3.1_29473.p',m__1837) ).

fof(mSortsB,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => aNaturalNumber0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.6mpM9TYrM9/E---3.1_29473.p',mSortsB) ).

fof(c_0_9,plain,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X1 != X2
          & sdtlseqdt0(X1,X2) )
       => iLess0(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[mIH_03]) ).

fof(c_0_10,hypothesis,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => ( ( ( ( X3 != sz00
              & X3 != sz10
              & ! [X4] :
                  ( ( aNaturalNumber0(X4)
                    & ? [X5] :
                        ( aNaturalNumber0(X5)
                        & X3 = sdtasdt0(X4,X5) )
                    & doDivides0(X4,X3) )
                 => ( X4 = sz10
                    | X4 = X3 ) ) )
            | isPrime0(X3) )
          & ( ? [X4] :
                ( aNaturalNumber0(X4)
                & sdtasdt0(X1,X2) = sdtasdt0(X3,X4) )
            | doDivides0(X3,sdtasdt0(X1,X2)) ) )
       => ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( ( ? [X4] :
                  ( aNaturalNumber0(X4)
                  & X1 = sdtasdt0(X3,X4) )
              & doDivides0(X3,X1) )
            | ( ? [X4] :
                  ( aNaturalNumber0(X4)
                  & X2 = sdtasdt0(X3,X4) )
              & doDivides0(X3,X2) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[m__1799]) ).

fof(c_0_11,plain,
    ! [X63,X64] :
      ( ~ aNaturalNumber0(X63)
      | ~ aNaturalNumber0(X64)
      | X63 = X64
      | ~ sdtlseqdt0(X63,X64)
      | iLess0(X63,X64) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

fof(c_0_12,hypothesis,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(esk21_0)
    & sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),esk21_0) = sdtpldt0(sdtpldt0(xn,xm),xp)
    & sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2686])])])]) ).

fof(c_0_13,hypothesis,
    ( xp != sz00
    & xp != sz10
    & ! [X1] :
        ( ( aNaturalNumber0(X1)
          & ( ? [X2] :
                ( aNaturalNumber0(X2)
                & xp = sdtasdt0(X1,X2) )
            | doDivides0(X1,xp) ) )
       => ( X1 = sz10
          | X1 = xp ) )
    & isPrime0(xp)
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    inference(fof_simplification,[status(thm)],[m__1860]) ).

fof(c_0_14,hypothesis,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(esk20_0)
    & sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,esk20_0)
    & doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2529])]) ).

fof(c_0_15,negated_conjecture,
    ~ ( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
          & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
       => ( ? [X1] :
              ( aNaturalNumber0(X1)
              & sdtsldt0(xn,xr) = sdtasdt0(xp,X1) )
          | doDivides0(xp,sdtsldt0(xn,xr)) ) )
      | ? [X1] :
          ( aNaturalNumber0(X1)
          & xm = sdtasdt0(xp,X1) )
      | doDivides0(xp,xm) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_16,hypothesis,
    ! [X91,X92,X93,X96] :
      ( ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk5_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | aNaturalNumber0(esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | X93 = sdtasdt0(esk5_3(X91,X92,X93),esk6_3(X91,X92,X93))
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | doDivides0(esk5_3(X91,X92,X93),X93)
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != sz10
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | esk5_3(X91,X92,X93) != X93
        | X93 = sz00
        | X93 = sz10
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X96)
        | sdtasdt0(X91,X92) != sdtasdt0(X93,X96)
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | aNaturalNumber0(esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | X91 = sdtasdt0(X93,esk7_3(X91,X92,X93))
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( aNaturalNumber0(esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( X92 = sdtasdt0(X93,esk8_3(X91,X92,X93))
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) )
      & ( doDivides0(X93,X92)
        | doDivides0(X93,X91)
        | ~ iLess0(sdtpldt0(sdtpldt0(X91,X92),X93),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ doDivides0(X93,sdtasdt0(X91,X92))
        | ~ isPrime0(X93)
        | ~ aNaturalNumber0(X91)
        | ~ aNaturalNumber0(X92)
        | ~ aNaturalNumber0(X93) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).

cnf(c_0_17,plain,
    ( X1 = X2
    | iLess0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,hypothesis,
    sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_20,hypothesis,
    ! [X99,X100] :
      ( xp != sz00
      & xp != sz10
      & ( ~ aNaturalNumber0(X100)
        | xp != sdtasdt0(X99,X100)
        | ~ aNaturalNumber0(X99)
        | X99 = sz10
        | X99 = xp )
      & ( ~ doDivides0(X99,xp)
        | ~ aNaturalNumber0(X99)
        | X99 = sz10
        | X99 = xp )
      & isPrime0(xp)
      & aNaturalNumber0(esk9_0)
      & sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0)
      & doDivides0(xp,sdtasdt0(xn,xm)) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])]) ).

cnf(c_0_21,hypothesis,
    doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,hypothesis,
    sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_23,hypothesis,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & sdtsldt0(xn,xr) != xn
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(esk19_0)
    & sdtpldt0(sdtsldt0(xn,xr),esk19_0) = xn
    & sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2504])])])]) ).

fof(c_0_24,negated_conjecture,
    ! [X118,X119] :
      ( aNaturalNumber0(sdtsldt0(xn,xr))
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & ( ~ aNaturalNumber0(X118)
        | sdtsldt0(xn,xr) != sdtasdt0(xp,X118) )
      & ~ doDivides0(xp,sdtsldt0(xn,xr))
      & ( ~ aNaturalNumber0(X119)
        | xm != sdtasdt0(xp,X119) )
      & ~ doDivides0(xp,xm) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).

cnf(c_0_25,hypothesis,
    ( doDivides0(X1,X2)
    | doDivides0(X1,X3)
    | ~ iLess0(sdtpldt0(sdtpldt0(X3,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ doDivides0(X1,sdtasdt0(X3,X2))
    | ~ isPrime0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,hypothesis,
    ( iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_27,hypothesis,
    isPrime0(xp),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,hypothesis,
    doDivides0(xp,sdtasdt0(xp,esk20_0)),
    inference(rw,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,hypothesis,
    aNaturalNumber0(sdtsldt0(xn,xr)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_31,hypothesis,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_32,negated_conjecture,
    ~ doDivides0(xp,xm),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    ~ doDivides0(xp,sdtsldt0(xn,xr)),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_34,plain,
    ! [X7,X8] :
      ( ~ aNaturalNumber0(X7)
      | ~ aNaturalNumber0(X8)
      | aNaturalNumber0(sdtpldt0(X7,X8)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).

cnf(c_0_35,hypothesis,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_22]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]),c_0_32]),c_0_33]) ).

cnf(c_0_36,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_37,hypothesis,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_31])]) ).

cnf(c_0_38,hypothesis,
    ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_30]),c_0_29])]) ).

cnf(c_0_39,hypothesis,
    ~ aNaturalNumber0(sdtpldt0(xn,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_31])]) ).

cnf(c_0_40,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_41,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_30]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM517+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 09:20:55 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.6mpM9TYrM9/E---3.1_29473.p
% 1.86/0.72  # Version: 3.1.0
% 1.86/0.72  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.86/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.86/0.72  # Starting new_bool_3 with 300s (1) cores
% 1.86/0.72  # Starting new_bool_1 with 300s (1) cores
% 1.86/0.72  # Starting sh5l with 300s (1) cores
% 1.86/0.72  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 29575 completed with status 0
% 1.86/0.72  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.86/0.72  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.86/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.86/0.72  # No SInE strategy applied
% 1.86/0.72  # Search class: FGHSF-FSLM32-MFFFFFNN
% 1.86/0.72  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.86/0.72  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 811s (1) cores
% 1.86/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.86/0.72  # Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 1.86/0.72  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 1.86/0.72  # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.86/0.72  # G-E--_302_C18_F1_URBAN_S0Y with pid 29588 completed with status 0
% 1.86/0.72  # Result found by G-E--_302_C18_F1_URBAN_S0Y
% 1.86/0.72  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.86/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.86/0.72  # No SInE strategy applied
% 1.86/0.72  # Search class: FGHSF-FSLM32-MFFFFFNN
% 1.86/0.72  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.86/0.72  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 811s (1) cores
% 1.86/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.86/0.72  # Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 1.86/0.72  # Preprocessing time       : 0.009 s
% 1.86/0.72  
% 1.86/0.72  # Proof found!
% 1.86/0.72  # SZS status Theorem
% 1.86/0.72  # SZS output start CNFRefutation
% See solution above
% 1.86/0.72  # Parsed axioms                        : 56
% 1.86/0.72  # Removed by relevancy pruning/SinE    : 0
% 1.86/0.72  # Initial clauses                      : 283
% 1.86/0.72  # Removed in clause preprocessing      : 3
% 1.86/0.72  # Initial clauses in saturation        : 280
% 1.86/0.72  # Processed clauses                    : 416
% 1.86/0.72  # ...of these trivial                  : 16
% 1.86/0.72  # ...subsumed                          : 58
% 1.86/0.72  # ...remaining for further processing  : 342
% 1.86/0.72  # Other redundant clauses eliminated   : 31
% 1.86/0.72  # Clauses deleted for lack of memory   : 0
% 1.86/0.72  # Backward-subsumed                    : 4
% 1.86/0.72  # Backward-rewritten                   : 1
% 1.86/0.72  # Generated clauses                    : 4564
% 1.86/0.72  # ...of the previous two non-redundant : 4448
% 1.86/0.72  # ...aggressively subsumed             : 0
% 1.86/0.72  # Contextual simplify-reflections      : 5
% 1.86/0.72  # Paramodulations                      : 4512
% 1.86/0.72  # Factorizations                       : 0
% 1.86/0.72  # NegExts                              : 0
% 1.86/0.72  # Equation resolutions                 : 52
% 1.86/0.72  # Disequality decompositions           : 0
% 1.86/0.72  # Total rewrite steps                  : 3987
% 1.86/0.72  # ...of those cached                   : 3955
% 1.86/0.72  # Propositional unsat checks           : 0
% 1.86/0.72  #    Propositional check models        : 0
% 1.86/0.72  #    Propositional check unsatisfiable : 0
% 1.86/0.72  #    Propositional clauses             : 0
% 1.86/0.72  #    Propositional clauses after purity: 0
% 1.86/0.72  #    Propositional unsat core size     : 0
% 1.86/0.72  #    Propositional preprocessing time  : 0.000
% 1.86/0.72  #    Propositional encoding time       : 0.000
% 1.86/0.72  #    Propositional solver time         : 0.000
% 1.86/0.72  #    Success case prop preproc time    : 0.000
% 1.86/0.72  #    Success case prop encoding time   : 0.000
% 1.86/0.72  #    Success case prop solver time     : 0.000
% 1.86/0.72  # Current number of processed clauses  : 336
% 1.86/0.72  #    Positive orientable unit clauses  : 69
% 1.86/0.72  #    Positive unorientable unit clauses: 0
% 1.86/0.72  #    Negative unit clauses             : 29
% 1.86/0.72  #    Non-unit-clauses                  : 238
% 1.86/0.72  # Current number of unprocessed clauses: 4310
% 1.86/0.72  # ...number of literals in the above   : 38207
% 1.86/0.72  # Current number of archived formulas  : 0
% 1.86/0.72  # Current number of archived clauses   : 5
% 1.86/0.72  # Clause-clause subsumption calls (NU) : 43543
% 1.86/0.72  # Rec. Clause-clause subsumption calls : 1035
% 1.86/0.72  # Non-unit clause-clause subsumptions  : 27
% 1.86/0.72  # Unit Clause-clause subsumption calls : 2387
% 1.86/0.72  # Rewrite failures with RHS unbound    : 0
% 1.86/0.72  # BW rewrite match attempts            : 1
% 1.86/0.72  # BW rewrite match successes           : 1
% 1.86/0.72  # Condensation attempts                : 0
% 1.86/0.72  # Condensation successes               : 0
% 1.86/0.72  # Termbank termtop insertions          : 167856
% 1.86/0.72  # Search garbage collected termcells   : 2549
% 1.86/0.72  
% 1.86/0.72  # -------------------------------------------------
% 1.86/0.72  # User time                : 0.193 s
% 1.86/0.72  # System time              : 0.007 s
% 1.86/0.72  # Total time               : 0.200 s
% 1.86/0.72  # Maximum resident set size: 2452 pages
% 1.86/0.72  
% 1.86/0.72  # -------------------------------------------------
% 1.86/0.72  # User time                : 1.003 s
% 1.86/0.72  # System time              : 0.034 s
% 1.86/0.72  # Total time               : 1.037 s
% 1.86/0.72  # Maximum resident set size: 1772 pages
% 1.86/0.72  % E---3.1 exiting
%------------------------------------------------------------------------------